Answer:
B
Step-by-step explanation:
First take 12.52 and subtract 11.54 to find the amount it had decreased. (.98)
After that, divide it by 4 (because it increased by .98 over 4 years) and you get .245 a year.
and sense your starting value was 11.54 the +11.54 also checks out
Gage Millar, algebra 2 tutor.
The function modeling the given situation of retail price of electricity in cents per kilowatt hour, x years after 2010 is: Option C. [tex]f(x) = 0.245x + 11.54[/tex] (in cents/kilowatt hour)
You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
Since the problem asks us to find the cost of electricity x years after 2010, thus, the increasing rate will add up itself x times and this addition will then be added to the price which is getting increased, which is 2010's price.
(since 2011's price = price of 2010 + constant increment,
2012's price = price of 2010 + twice of constant increment, and so on for further years)
Thus, f(x) = increment per year times x + price in 2010
Now assuming that increment in price per year is constant, we see:
Increment per year in electricity price= (price in 2014 - price in 2010)/4
Increment per year in electricity price = (0.98)/4 = 0.245 cents per year
Thus, we get:
[tex]f(x) = 0.245x + 11.54[/tex] as the price of the electricity in cents per kilowatt hour after x years from 2010.
Learn more about forming equations here:
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